On nonhomogeneous biharmonic problem involving Rellich-type potentials and a critical Sobolev exponent

This paper is concerned with the existence of multiple solutions for a biharmonic problem involving multi-polar Rellich type potentials and Sobolev critical nonlinearity in an open bounded domain of RN, N≥5. The method used here is based on the Nehari manifold.

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Bibliographic Details
Published inIndian journal of pure and applied mathematics Vol. 56; no. 2; pp. 631 - 644
Main Authors Messirdi, Sofiane, Bennour, Abdelaziz, Matallah, Atika
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.06.2025
Subjects
Mathematics
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ISSN0019-5588
0975-7465
DOI10.1007/s13226-023-00507-x

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Summary:This paper is concerned with the existence of multiple solutions for a biharmonic problem involving multi-polar Rellich type potentials and Sobolev critical nonlinearity in an open bounded domain of RN, N≥5. The method used here is based on the Nehari manifold.
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ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-023-00507-x